Question

In a triangular prism area of rectangular surface is twice the area of traingular surface if tsa 3000. Find the area of triangular surface

Answer 1

375

Explanation:

Applying,

Total surface area of the triangular prism = 3×Area of the rectangular surface + 2×area of the triangular surface

Assuming the triangular base is an equilateral triangle

A = 3A'+2B.................... Equation 1

Where A = Total surface area of the prism, A' = Area of the rectangular surface, B = Area of the triangular base.

From the question,

IF A' = 2B,

Given: A = 3000

Substitute these values into equation 1

3000 = 3(2B)+2B

3000 = 6B+2B

3000 = 8B

8B = 3000

B = 3000/8

B = 375